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Decimal expansion of (9+4*sqrt(2))/7.
15

%I #7 Oct 30 2023 02:00:16

%S 2,0,9,3,8,3,6,3,2,1,3,5,6,0,5,4,3,1,3,6,0,0,9,6,4,9,8,5,2,6,2,6,8,4,

%T 6,1,6,3,2,5,5,2,6,7,8,5,9,2,9,6,8,4,6,1,3,2,4,3,8,1,6,9,9,3,1,3,7,5,

%U 6,1,4,1,6,2,6,4,0,6,1,1,6,5,0,5,7,3,6,4,3,0,5,3,3,0,0,8,0,8,9,8,7,0,5,7,2

%N Decimal expansion of (9+4*sqrt(2))/7.

%C lim_{n -> infinity} b(n)/b(n-1) = ((9+4*sqrt(2))/7)/((19+6*sqrt(2))/17) for n mod 9 = {1, 2}, b = A129837, A156650.

%H G. C. Greubel, <a href="/A156649/b156649.txt">Table of n, a(n) for n = 1..10000</a>

%H <a href="/index/Al#algebraic_02">Index entries for algebraic numbers, degree 2</a>

%e (9+4*sqrt(2))/7 = 2.09383632135605431360...

%t RealDigits[(9 + 4*Sqrt[2])/7, 10, 100][[1]] (* _G. C. Greubel_, Jul 05 2017 *)

%o (PARI) (9+4*sqrt(2))/7 \\ _G. C. Greubel_, Jul 05 2017

%Y Cf. A002193 (decimal expansion of sqrt(2)), A156035 (decimal expansion of 3+2*sqrt(2)). A156163 (decimal expansion of (19+6*sqrt(2))/17), A129837, A156650.

%K cons,nonn

%O 1,1

%A _Klaus Brockhaus_, Feb 13 2009